Answer:
Gusion = 2years
Lesley= 40years
Step-by-step explanation:
Let Guison age be x
Let Lesley age be y
If the sum of the ages of Gusion and Lesley is 42, then;
x+ y =42 ... 1
Four years ago
Guison age = x - 4
Lesley age = y - 4
If four years ago, Gusion was twice as old as Lesley, then;
x - 4 = 2(y-4)
x - 4 = 2y - 9
x - 2y = -9+4
x - 2y = -5 .... 2
Substract 1 from 2;
y + 2y = 1+5
3y = 6
y = 2
From 1;
x = 42 - y
x = 42-2
x = 40
Hence present age pf Guison is 2 years
Present age of Lesley is 40 years
Find the gradient of the line segment between the points (-2,3) and (-4,-2).
Give your answer in its simplest form.
Given:
The two points are (-2,3) and (-4,-2).
To find:
The gradient of the line segment between the given points.
Solution:
The gradient is also known as slope.
The slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is
[tex]m=\dfrac{-2-3}{-4-(-2)}[/tex]
[tex]m=\dfrac{-5}{-4+2}[/tex]
[tex]m=\dfrac{-5}{-2}[/tex]
[tex]m=\dfrac{5}{2}[/tex]
Therefore, the gradient of the given line segment is [tex]m=\dfrac{5}{2}[/tex].
The population of a small town is 7,300. if the population is growing by 4% each year, how long will it take for the population to reach 12,000?
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 11)(0,11) and (3, 3773)(3,3773).
Answer:
y = 11(7)^x
Step-by-step explanation:
The exponent equation that goes through points (0, 11) and (3, 3773) will be y = 11 · (7)ˣ.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The equation passes through (0, 11) and (3, 3773). Then the equation will be given as,
ab⁰ = 11
a = 11
Then the other equation is given as,
ab³ = 3773
11 b³ = 3773
b³ = 343
b³ = 7³
b = 7
Then the exponent equation that goes through points (0, 11) and (3, 3773) will be y = 11 · (7)ˣ.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
Subtract – 2.2 + 3x – 9 from 8x2 + 10x – 10.
Answer:
=3x−11
2(4x2+5x−5)
Step-by-step explanation:
both subtracted: −8x2−7x−1
-3x + -15 = 12
x = __
Answer:
x=9
Step-by-step explanation:
alright so first we eliminate the -15 and to do that we add 15 on both sides:
-3x-15+15=12+15
-3x=27
Now we divide 3 on both sides to make the equation equal to x
[tex] \frac{-3x}{-3} = \frac{27}{-3} [/tex]
x=9
And that's your answer, you're welcome :)
12. ALGEBRA Sherri Cole found that the 12-ounce can of frozen orange juice
sells for $0.16 less than the 16-ounce can, which is $0.68 less than the
24-ounce can. If the unit price of the 24-ounce can is $0.005 less than the
unit price of the 12-ounce can, which of the three is the best buy based
on the lowest unit price?
Answer:
96 = x
Step-by-step explanation:
I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.
Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.
The unit price (cents per ounce) of the 12-oz can is x/12
The unit price of the 16-oz can is (x + 16)/16
The unit price of the 24-oz can is (x + 84)/24
You are told that, in terms of x,
(x + 84)/24 = x/12 - 0.5
Multiply both sides by 24:
x + 84 = 2x - 12
Solve for x:
96 = x
So the unit prices (in cents per ounce) are:
12 oz: 96/12 = 8 cents/oz
16 oz: 112/16 = 7 cents/oz
24 oz: 180/24 = 7.5 cents/oz
So the 16 ounce can is the best buy based on lowest unit price.
In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:
[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]
Some values should be simplified as they were informed in the statement:
The unit price (cents per ounce) of the 12-oz can is x/12The unit price of the 16-oz can is (x + 16)/16The unit price of the 24-oz can is (x + 84)/24So putting together an equation with these values and terms informed we find that:
[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]
So with the value of X found it is only necessary to use the previous equations and replace this value.
See more about finances at brainly.com/question/10024737
What is the equation of the line that passes through the point (4, -2) and has a
slope of -22
Answer: the answer is y=-22x+86
here is why:
the slope is -22 which is the m --> y=mx+b the point is (4,-2) the x=4 and y= =2
If we set up the equation:
-2= -22(4)+86
-2= -88+86
-2= -2
100 points help ASAP!!!!
Answer:
True
False
False
True
Step-by-step explanation:
its not even 100 points
Answer: This is 9 points. True,False, False,True is the answer by the way.
Step-by-step explanation:
The rectangle below has an areas of x^2+8x+15 square metres and a width of x+3 meters what expression represents the length of the rectangle
Answer: x+5 or ((x^2+8x+15)/(x+3))
Step-by-step explanation: First let's assign our variables.
x^2+8x+15 = Area
X+3 = Width
? = Length
If the equation of a=lw, then we can substitute in our variables.
a=lw
x^2+8x+15= L (x+3)
Now we must isolate L.
Divide both sides of the equation by 'x+3'
x^2+8x+15= L (x+3)
x+3 x+3
x+5= L
HELP!!!!!!!!!!!!!!!!
Answer:
C. 390 cm²
Step-by-step explanation:
Area of Rectangle: l•w
Area of Triangle: 1/2bh
Rectangle:
20 cm • 15 cm = 300 cm²
Triangle:
1/2(12)(15)
1/2(180)
90 cm²
Entire Shape:
300 cm² + 90 cm² = 390 cm²
cuanto es la mitad de 1000
Answer:
La mitad es 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
500 + 500= 1000
Statistics help please!!! I have no idea what to do!
Zoom in to see clearer! Please don't answer just for points I really need help
Answer:
not sure tbh
Step-by-step explanation:
Help me pls pls pls
Answer:
Its 68
Step-by-step explanation:
Sum of all the angles is 180
63+49+w = 180
112+w=180
w=180-112
w=68
Is 10/6 and 50/30 proportional or not proportional
Answer:
proportional
Step-by-step explanation:
50/5=10
30/5=6
10/6
What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)
Answer:
-6665
Step-by-step explanation:
The given GP is :
1, -6, 36, ...
Number of terms = 6
The sum of n terms of a GP is given by :
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Here,
a = 1, n = 6, r = 36/-6 = -6
So,
[tex]S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665[/tex]
So, the sum of th GP is -6665.
Calculate the percentage increase of an item that cost R59.99 in 2020 and R 65.99 in 2021
Answer:
the answer is of this question R = 10
Answer:
The answer is 6%
Step-by-step explanation:
[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]
Are linear inequality graphs different from linear equations graphs
Answer:
The only difference between the two equations is that, a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions.
Step-by-step explanation:
Your profile picture lol
Answer:
Trust me his/her answer are correct.....
6. A hot air balloons each descend 100 feet per minute for 5 minutes. Find the total change in altitude for the hot air balloon.
Answer: 500 feet in 5 minutes
Step-by-step explanation:
Multiply 100 times 5 to find out how much feet the hot air balloon descends per minute.
The top of a building is a cone 10 meters tall with a radius of 4 meters at the base. Round to the nearest hundredth.
Answer:
V = 167.55 m³
Step-by-step explanation:
Given that,
The height of a cone, h = 10 m
Radius of the cone, r = 4 m
It can be assumed to find the volume of the cone. Th formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\pi \times (4)^2\times 10\\\\V=167.55\ m^3[/tex]
So, the required volume is 167.55 m³.
Posted the next question!
Answer:
angle 3 and angle 2 are complementary angle.
i will give brainliest to first correct answer!! what is the length of YZ? i will report if you give a fake answer
Answer:
25
Step-by-step explanation:
Simplify (3v^5+8v^3−10v^2 )−(−12v^5 +4v^3+14v^2 ) . Write answer in standard form.
please help
Answer
15v^5+4v^3-24v^2
Pls help ASAP!!!!!!!!!!!!!
Answer:
i thank 180 or 115×31=
Step-by-step explanation:
i am not sure sorry):
what quadrant is the coordinate -3,2 in
Answer: the 2nd quadrant
Step-by-step explanation:
The first quadrant
(X,Y)
The second quadrant
(-X,Y)
The third quadrant
(-X,-Y)
The fourth quadrant
(X,-Y)
2. Y - 3 = X + 2
2X - 1 = Y
Show your work
Marshallhasalreadyjarred1literofjamandwilljaranadditional7litersofjameveryday.HowmanydaysdoesMarshallneedtospendmakingjamifhewantstojar22litersofjaminall?
Answer:
thanks for the points, don't forget to drink water
explanation:
give me crown please
300 times what is 1800
Answer:
6
Step-by-step explanation:
1800/300=6
Help me please ill pay u
Answer:
x= -1
y= -1
Step-by-step explanation:
whats the average between 95 and 128
Answer:
Below!
Step-by-step explanation:
111.5
Ben takes a 45 minute test. After answering 10 questions, the timer indicates that one-fifth of the total time is up. How much time did Ben take to answer the 10 questions *
it took Ben 9 minutes to answer 10 questions